404389440 has 336 divisors, whose sum is σ = 1713024768. Its totient is φ = 85266432.

The previous prime is 404389439. The next prime is 404389459. The reversal of 404389440 is 44983404.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404389395 and 404389404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261309 + ... + 262851.

It is an arithmetic number, because the mean of its divisors is an integer number (5098288).

Almost surely, 2^404389440 is an apocalyptic number.

404389440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856512384).

404389440 is an abundant number, since it is smaller than the sum of its proper divisors (1308635328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404389440 is a wasteful number, since it uses less digits than its factorization.

404389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 404389440 is about 20109.4365908148. The cubic root of 404389440 is about 739.4916401372.

The spelling of 404389440 in words is "four hundred four million, three hundred eighty-nine thousand, four hundred forty".